Step-by-step explanation:
8x + x² - 2y + y² - 64 = 0
(x + 4)² + (y - 1)² - 81 = 0
(x + 4)² + (y - 1)² = 81
Hencr the center is (-4,1) and the radius is 9.
Answer:
-3x
Step-by-step explanation:
So, the area of a rectangle is <span>LxW. </span>For this rectangle, <span>LxW=320. </span>We also know that the length is 4 feet longer than the width, that is L=W+4. With some substitution, we get<span>(W+4)W=320. </span>Simplify to get <span>W^2+4w=320. </span>Now the fun part! When we complete the square, we'll end up with (W+___)^2, right? So, let's take half of 4, which is 2, and square it. That's 4. Add that 4 to what we already have:W^2+4W+4. But remember, what we do to one side of an equation we must do to the other side. So we really have <span>W^2+4W+4=320+4.</span>We simplify and get <span>W^2+4W+4=324. </span>Factor the left side of the equation and get<span>(W+2)^2=324. </span>When we take the square root of both sides of the equation we getW+2=18, so W=16, which means the length (4 ft longer) is 20 ft. Do you have questions about the completing the square part? In a trinomial, the coefficient in the x term is the sum of the two factors and the constant term is the product. So, in the completing the square, you have the sum of a number added to itself or 2 times that factor. That's why we take half of it. Then, we square it to get the constant term. Square completed. But don't forget to keep the balance in the equation by also adding the constant term to the other side.
Answer:
7850 m^2
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi *r
314 = 2 * 3.14 *r
314 = 6.28 r
Divide each side by 6.28
314/6.28 = 6.28 r/6.28
50 m= r
Now we need to find the area
A = pi * r^2
A = 3.14 *r^2
A = 3.14 (50)^2
= 3.14 (2500)
7850 m^2
For this case we have:
Represents the solution of all strict minor numbers to 2.
Represents the solution of all numbers greater than or equal to 2.
The solution set, according to the figure, is given by the union of and 
. Thus, the complete solution is given by all the real numbers.
Answer:
Option D
